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42400210401241 = 7114173183979981
BaseRepresentation
bin10011010010000000100010…
…11110101011011111011001
312120010102100120020201111221
421221000101132223133121
521024141112330314431
6230102215431052041
711634212511610360
oct1151002136533731
9176112316221457
1042400210401241
1112567912444880
124909540811021
131a87426c26834
14a6827705a7d7
154d7dd7d04111
hex2690117ab7d9

42400210401241 has 32 divisors (see below), whose sum is σ = 54893739269376. Its totient is φ = 31791740544000.

The previous prime is 42400210401119. The next prime is 42400210401247. The reversal of 42400210401241 is 14210401200424.

It is a happy number.

42400210401241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42400210401241 - 213 = 42400210393049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42400210401247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91759530 + ... + 92220451.

It is an arithmetic number, because the mean of its divisors is an integer number (1715429352168).

Almost surely, 242400210401241 is an apocalyptic number.

42400210401241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42400210401241 is a deficient number, since it is larger than the sum of its proper divisors (12493528868135).

42400210401241 is a wasteful number, since it uses less digits than its factorization.

42400210401241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183980113.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 42400210401241 its reverse (14210401200424), we get a palindrome (56610611601665).

The spelling of 42400210401241 in words is "forty-two trillion, four hundred billion, two hundred ten million, four hundred one thousand, two hundred forty-one".

Divisors: 1 7 11 41 73 77 287 451 511 803 2993 3157 5621 20951 32923 230461 183979981 1287859867 2023779791 7543179221 13430538613 14166458537 52802254547 82974971431 94013770291 147735924743 550652083133 580824800017 1034151473201 3854564581931 6057172914463 42400210401241